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Finding the Fourth Proportional to 23,826.60, 35,744.04 and 8,240.64

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Solution

The fourth proportional to 23,826.60, 35,744.04 and 8,240.64 is: 12,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.60 : 35,744.04 = 8,240.64 : x
  2. Step 2: Convert to fraction form
    23,826.60/35,744.04 = 8,240.64/x
  3. Step 3: Cross multiply
    23,826.60x = 35,744.04 × 8,240.64
  4. Step 4: Simplify right side
    23,826.60x = 294,553,765.79
  5. Step 5: Solve for x
    x = 294,553,765.79/23,826.60
  6. Step 6: Final answer
    x = 12,362.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.